\[ f'(4) = 22 \]

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• \[ f'(x) = 6x - 2 \]
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• \[ r = \sqrt{36} \]
• \[ r = 6 \]

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If \(\log_2(x) + \log_2(x-3) = 3\), what is x?Combine logs: \(\log_2(x(x-3)) = 3\)Convert to exponential: \(x(x-3) = 2^3 = 8\)Solve quadratic: \(x^2 - 3x - 8 = 0\)Factor: \((x-4)(x+2) = 0\)Solutions: x = 4 or x = -2 (discard negative)Valid x: 4Circumference formula: \(C = 2\pi r\)Solve for r: \(31.4 = 2\pi r \Rightarrow r = \frac{31.4}{2\pi} \approx 5\)Area formula: \(A = \pi r^2\)